Tan 29 Degrees

The value of tan 29 degrees is 0.5543090. . .. Tan 29 degrees in radians is written as tan (29° × π/180°), i.e., tan (0.506145. . .). In this article, we will discuss the methods to find the value of tan 29 degrees with examples.

• Tan 29° in decimal: 0.5543090. . .
• Tan (-29 degrees): -0.5543090. . .
• Tan 29° in radians: tan (0.5061454 . . .)

What is the Value of Tan 29 Degrees?

The value of tan 29 degrees in decimal is 0.554309051. . .. Tan 29 degrees can also be expressed using the equivalent of the given angle (29 degrees) in radians (0.50614 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 29 degrees = 29° × (π/180°) rad = 0.5061 . . .
∴ tan 29° = tan(0.5061) = 0.5543090. . .

Explanation:

For tan 29 degrees, the angle 29° lies between 0° and 90° (First Quadrant). Since tangent function is positive in the first quadrant, thus tan 29° value = 0.5543090. . .
Since the tangent function is a periodic function, we can represent tan 29° as, tan 29 degrees = tan(29° + n × 180°), n ∈ Z.
⇒ tan 29° = tan 209° = tan 389°, and so on.
Note: Since, tangent is an odd function, the value of tan(-29°) = -tan(29°).

Methods to Find Value of Tan 29 Degrees

The tangent function is positive in the 1st quadrant. The value of tan 29° is given as 0.55430. . .. We can find the value of tan 29 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Tan 29 Degrees Using Unit Circle

To find the value of tan 29 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 29° angle with the positive x-axis.
• The tan of 29 degrees equals the y-coordinate(0.4848) divided by x-coordinate(0.8746) of the point of intersection (0.8746, 0.4848) of unit circle and r.

Hence the value of tan 29° = y/x = 0.5543 (approx).

Tan 29° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the tan 29 degrees as:

• sin(29°)/cos(29°)
• ± sin 29°/√(1 - sin²(29°))
• ± √(1 - cos²(29°))/cos 29°
• ± 1/√(cosec²(29°) - 1)
• ± √(sec²(29°) - 1)
• 1/cot 29°

Note: Since 29° lies in the 1st Quadrant, the final value of tan 29° will be positive.

We can use trigonometric identities to represent tan 29° as,

• cot(90° - 29°) = cot 61°
• -cot(90° + 29°) = -cot 119°
• -tan (180° - 29°) = -tan 151°

☛ Also Check:

• tan 0 degrees
• tan 360 degrees
• tan 105 degrees
• tan 140 degrees
• tan 52 degrees
• tan 58 degrees

FAQs on Tan 29 Degrees

What is Tan 29 Degrees?

Tan 29 degrees is the value of tangent trigonometric function for an angle equal to 29 degrees. The value of tan 29° is 0.5543 (approx).

What is the Value of Tan 29 Degrees in Terms of Cot 29°?

Since the tangent function is the reciprocal of the cotangent function, we can write tan 29° as 1/cot(29°). The value of cot 29° is equal to 1.80404.

How to Find Tan 29° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of tan 29° can be given in terms of other trigonometric functions as:

• sin(29°)/cos(29°)
• ± sin 29°/√(1 - sin²(29°))
• ± √(1 - cos²(29°))/cos 29°
• ± 1/√(cosec²(29°) - 1)
• ± √(sec²(29°) - 1)
• 1/cot 29°

☛ Also check: trigonometry table

What is the Value of Tan 29° in Terms of Cosec 29°?

Since the tangent function can be represented using the cosecant function, we can write tan 29° as 1/√(cosec²(29°) - 1). The value of cosec 29° is equal to 2.06266.

How to Find the Value of Tan 29 Degrees?

The value of tan 29 degrees can be calculated by constructing an angle of 29° with the x-axis, and then finding the coordinates of the corresponding point (0.8746, 0.4848) on the unit circle. The value of tan 29° is equal to the y-coordinate(0.4848) divided by the x-coordinate (0.8746). ∴ tan 29° = 0.5543